Determine whether the equation below is an identity or whether it has no solution.
-6(2x+1)=-12x+6
has no solution or it an identity
This equation has no solution.
To determine whether the equation -6(2x+1)=-12x+6 is an identity or has no solution, we need to simplify both sides and check for equality.
First, distribute the -6 on the left side of the equation:
-6 * 2x - 6 * 1 = -12x + 6
This simplifies to:
-12x - 6 = -12x + 6
Next, let's see if we can simplify further by getting rid of the -12x term on both sides. To do this, we'll add 12x to both sides:
-12x - 6 + 12x = -12x + 6 + 12x
This simplifies to:
-6 = 6
Since -6 doesn't equal 6, we have a contradiction. Therefore, the equation has no solution.
To determine whether the equation -6(2x+1)=-12x+6 is an identity or has no solution, we need to simplify both sides and compare them.
Start by distributing the -6 on the left side of the equation:
-6 * 2x = -12x
-6 * 1 = -6
Now we have:
-12x - 6 = -12x + 6
Next, move all terms containing x to one side of the equation by adding 12x to both sides:
-12x + 12x - 6 = -12x + 12x + 6
-6 = 6
After simplifying, we see that -6 is not equal to 6. This means that the equation has no solution.
Therefore, the equation -6(2x+1)=-12x+6 has no solution.